The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?

A.
16 cm
B.
18 cm
C.
24 cm
D.
Data inadequate
E.
None of these

• B. 18 cm
  Length = 18 cm, Breadth = 12 cm, Perimeter = 60 cm
  So, Area = 18*12 = 216 sq.cm
  Perimeter : Breadth = 60 : 12 = 5 : 1
• 13 years agoHelpfull: Yes(9) No(9)
• 
  2(l + b) = 5
  b 1
  2l + 2b = 5b
  
  3b = 2l
  
  b = 2 l
  3
  Then, Area = 216 cm2
  
  l x b = 216
  
  l x 2 l = 216
  3
  l2 = 324
  
  l = 18 cm.
• 9 years agoHelpfull: Yes(0) No(0)
• suppose the length is y
  and the perimeter and breadth are 5x and x respectively.
  then,
  2(x+y)=5x
  y=1.5x
  the area of rectangle is 1.5x * x =1.5x^2=144
  then x = 12
  y = 1.5 * 12 =18
• 9 years agoHelpfull: Yes(0) No(0)